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A topological duality for monadic MV-algebras

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Abstract

Monadic MV-algebras are an algebraic model of first-order infinite-valued Łukasiewicz logic in which only one propositional variable is considered. In this paper, we determine a topological duality for these algebras following well-known P. Halmos’ and H. Priestley’s dualities.

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Authors and Affiliations

  1. Departamento de Matemática, Universidad Nacional del Sur, Buenos Aires, Argentina

    Aldo Figallo-Orellano

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  1. Aldo Figallo-Orellano
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Correspondence to Aldo Figallo-Orellano.

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The authors declare that they have no conflict of interest regarding the publication of this paper.

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Communicated by V. Loia.

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Figallo-Orellano, A. A topological duality for monadic MV-algebras. Soft Comput 21, 7119–7123 (2017). https://doi.org/10.1007/s00500-016-2255-2

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  • DOI: https://doi.org/10.1007/s00500-016-2255-2

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